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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 463 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  2. 2.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  3. 3.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  5. 5.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  9. 9.Two trains, 50 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  11. 11.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  12. 12.Two trains, 50 m and 250 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  14. 14.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  16. 16.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  20. 20.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  22. 22.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  23. 23.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 54 km upstream and come back?
  25. 25.Two trains, 230 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  28. 28.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 90 m and 120 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 140 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 140
  2. 44
  3. 550
  4. 200
  5. 24
  6. 11
  7. 100
  8. 31
  9. 4
  10. 10
  11. 28
  12. 10
  13. 500
  14. 22
  15. 34
  16. 16
  17. 26
  18. 425
  19. 34
  20. 20
  21. 27
  22. 15
  23. 35
  24. 24
  25. 10
  26. 1
  27. 14
  28. 15
  29. 6
  30. 7
  31. 13
  32. 10
  33. 23
  34. 12
  35. 3
  36. 19
  37. 2
  38. 3
  39. 13
  40. 16

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